
doi: 10.1007/bf01942330
A theory of graded Banach modules over a Banach-Grassmann algebra is developed and applied to differential geometry of super-manifolds. The explicit structure of superspaces carrying Poincare supersymmetry and extended supersymmetry, including central charges, is described.
Infinite-dimensional manifolds, FIELD THEORY: SPACE-TIME, FIELD THEORY: GEOMETRICAL, graded commutative Banach algebra, tangent bundle, 58A05, GRAVITATION, differential geometry of supermanifolds modelled on Banach-Grassmann algebras, FUNCTIONAL ANALYSIS: linear space, ALGEBRA: GRASSMANN, commutation relations, FIELD THEORY: FIBRE BUNDLE, Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds, 83E99, info:eu-repo/classification/ddc/530, CHARGE: CONSERVATION LAW, SUPERSYMMETRY, Global differential geometry, Differentiable manifolds, foundations
Infinite-dimensional manifolds, FIELD THEORY: SPACE-TIME, FIELD THEORY: GEOMETRICAL, graded commutative Banach algebra, tangent bundle, 58A05, GRAVITATION, differential geometry of supermanifolds modelled on Banach-Grassmann algebras, FUNCTIONAL ANALYSIS: linear space, ALGEBRA: GRASSMANN, commutation relations, FIELD THEORY: FIBRE BUNDLE, Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds, 83E99, info:eu-repo/classification/ddc/530, CHARGE: CONSERVATION LAW, SUPERSYMMETRY, Global differential geometry, Differentiable manifolds, foundations
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